NATIONAL amateur champion Scott Rowe ended 1993 on a high with a stunning round of seven-under-par 63 over the Royal Hong Kong Golf Club's Eden Course. The teenage prodigy recorded nines of 31 and 32. His lowest ever round included eight birdies and a solitary bogey. Although it is the best score that has been posted on the realigned Eden layout it will not count as an official record because he was playing from the blue tees. Rowe departed Hong Kong in the summer to begin a four-year golfing scholarship at Northwestern University in Chicago. And it did not take long for the 18-year-old to make his mark on the college scene in America. In October he joined an elite list of players who have won a college tournament as a freshman. Going into his second term, Rowe is already the top-ranking Northwestern golfer with the best scoring average. ''I surprised myself by winning a tournament so early,'' said Rowe. who has made some amendments to his swing under the guidance of Northwestern coach Jeff Mory. With temperatures in snow-bound Chicago dipping to as low as minus 10 degrees, much of Rowe's recent practice has been indoors. Before returning to Hong Kong his last round had been on November 3. Although college commitments prevented Rowe from playing in the Southeast Asian amateur team championships for the Putra Cup at Fanling in November, Rowe said he would be honoured to represent the territory at the World championships for the Eisenhower Trophy in Paris next September.